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Finding the Fourth Proportional to 51,859.48, 71,567.53 and 31,716

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Solution

The fourth proportional to 51,859.48, 71,567.53 and 31,716 is: 43,768.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,859.48 : 71,567.53 = 31,716 : x
  2. Step 2: Convert to fraction form
    51,859.48/71,567.53 = 31,716/x
  3. Step 3: Cross multiply
    51,859.48x = 71,567.53 × 31,716
  4. Step 4: Simplify right side
    51,859.48x = 2,269,835,781.48
  5. Step 5: Solve for x
    x = 2,269,835,781.48/51,859.48
  6. Step 6: Final answer
    x = 43,768.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.